7625 ÷ 4 = 1906 R1
Alright, let's work through the division of 7625 by 4 step by step.

Step 1:
4 goes into 7 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 7 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 4

Step 2:
4 goes into 36 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 36 from 36 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 4

Step 3:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 190
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 4

Step 4:
4 goes into 25 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 1906
Subtract 24 from 25 to get 1.

The final result is 1906 with a remainder of 1.